I need to find the filter coefficients of an FIR filter that will block sinusoids of frequency $200\ \rm Hz$ if the sinusoid is sampled at $1.2\ \rm kHz$.
I feel like this is a fairly simple problem, but I'm not exactly sure how to go about it.
I am thinking I need to convert the frequencies to rad/s, then use these values in the transfer function, but am not sure how to find this transfer function.
EDIT:
I have to choose from one of the possible options:
$$ \{1, 1, 1\} $$ $$ \{1, -1, 1\} $$ $$ \{1, 0, 1\} $$ $$ \{1, \sqrt{2}, 1\} $$
or None of the Above.
From the coefficients above, I know the following equations can be created:
\begin{align} H\left(e^{j\omega}\right)&=1+e^{-j\omega}+e^{-2j\omega}\\ H\left(e^{j\omega}\right)&=1-e^{-j\omega}+e^{-2j\omega}\\ H\left(e^{j\omega}\right)&=1+e^{-2j\omega}\\ H\left(e^{j\omega}\right)&=1+\sqrt{2}e^{-j\omega}+e^{-2j\omega} \end{align}